Hydrostatics:change in weight of a system if a foreign body is introduced

In summary, the conversation discusses the change in weight when a bob of density rho' and weight w is thrown into a beaker with a liquid of density rho. It is explained that when the bob floats, the forces of weight and buoyancy must balance, and when the bob sinks, the weight of the bob is supported by the buoyancy and the upward force exerted by the bottom of the beaker. The total weight of the system is the weight of the beaker, liquid, and bob combined.
  • #1
harjyot
42
0
I have a beaker with a liquid of density
rho, and weight = W
now I throw into it s Bob say, of density rho' and weight=w.
can anyone explain what will be total new weight,with all forces explained for the cases:
body floats.
body sinks
 
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  • #2
What do you think the new weight will be? Why not try to describe all the forces acting on that bob in both cases?
 
  • #3
the force on the Bob will be
weight - upthrust.
by total weight I mean the weight of the whole system
 
  • #4
harjyot said:
the force on the Bob will be
weight - upthrust.
OK.

When the bob is floating, the forces on the bob are weight (down) and the buoyant force (up). They must balance if it floats.

When the bob sinks, the buoyant force is not enough to support the weight of the bob. When the bob settles on the bottom of the beaker, the bottom of the beaker will exert an upward force on it.
by total weight I mean the weight of the whole system
Right. So what do you think happens to the total weight of the system?
 
  • #5
in the first case, when it floats, the Bob pushes the liquid down with It's weight. so the total weight is W+weight of Bob

when it sinks, the net force on Bob is upthrust + reaction force = weight.
here too the weight of Bob gets added?
 

Related to Hydrostatics:change in weight of a system if a foreign body is introduced

1. How does the weight of a system change if a foreign body is introduced?

The weight of a system will increase by the weight of the foreign body. This is due to the principle of buoyancy, where the weight of the displaced fluid is equal to the weight of the object.

2. Does the shape or size of the foreign body affect the change in weight of the system?

Yes, the shape and size of the foreign body can affect the change in weight of the system. This is because the amount of fluid displaced by the foreign body will vary depending on its shape and size, therefore impacting the overall weight of the system.

3. Is the change in weight of the system dependent on the type of fluid it is submerged in?

Yes, the type of fluid will affect the change in weight of the system. Different fluids have different densities, and therefore the weight of the displaced fluid will vary, resulting in a different change in weight of the system.

4. Will the change in weight of a system with a submerged foreign body always be equal to the weight of the foreign body?

No, the change in weight of the system may not always be equal to the weight of the foreign body. This is because the buoyant force acting on the foreign body may not be equal to its weight, depending on the density of the fluid and the volume of the foreign body.

5. Can the change in weight of a system with a submerged foreign body be negative?

Yes, the change in weight of the system can be negative if the density of the foreign body is less than the density of the fluid. In this case, the buoyant force will be greater than the weight of the foreign body, resulting in a decrease in the overall weight of the system.

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